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Finding the Third Proportional to 4,419.56 and 8,967.27

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Solution

The third proportional to 4,419.56 and 8,967.27 is: 18,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419.56 : 8,967.27 = 8,967.27 : x
  2. Step 2: Convert to fraction form
    4,419.56/8,967.27 = 8,967.27/x
  3. Step 3: Cross multiply
    4,419.56x = 8,967.27 × 8,967.27
  4. Step 4: Simplify right side
    4,419.56x = 80,411,922.85
  5. Step 5: Solve for x
    x = 80,411,922.85/4,419.56
  6. Step 6: Final answer
    x = 18,194.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.